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Finding the Third Proportional to 179,976 and 416,657

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Solution

The third proportional to 179,976 and 416,657 is: 964,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,976 : 416,657 = 416,657 : x
  2. Step 2: Convert to fraction form
    179,976/416,657 = 416,657/x
  3. Step 3: Cross multiply
    179,976x = 416,657 × 416,657
  4. Step 4: Simplify right side
    179,976x = 173,603,055,649
  5. Step 5: Solve for x
    x = 173,603,055,649/179,976
  6. Step 6: Final answer
    x = 964,590.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.